In a medium mixing bowl, whisk together olive oil, oregano, garlic powder, salt, and pepper.
Add the chicken strips to the bowl and toss until evenly coated; set aside to marinate for 10 minutes.
In a large bowl, combine the shredded cabbage, dill, parsley, ranch dressing, and lemon juice. Mix thoroughly and refrigerate until assembly.
Preheat a cast iron skillet or grill pan over medium-high heat.
Cook the chicken strips for 6 to 8 minutes, turning occasionally, until the internal temperature reaches 165 degrees Fahrenheit.
Briefly toast the pita breads on each side until warm and flexible.
Open or fold the pitas and fill each with a portion of the grilled chicken, a generous scoop of the herby ranch slaw, and cucumber slices.